%0 Generic %1 citeulike:422895 %A Asano, Masanari %A Ishii, Chikara %D 2005 %K circuit gate quantum simulating toffoli %T New Structural Quantum Circuit Simulating a Toffoli Gate %U http://arxiv.org/abs/quant-ph/0512016 %X A Toffoli gate ($C^n$-NOT gate) is regarded as an important unitary gate in quantum computation, and is simulated by a quantum circuit composed of $C^2$-NOT gates. This paper presents a quantum circuit with a new configuration of $C^2$-NOT gates simulating a $C^2m+1$-NOT operation under the condition $m=2^n$ ($n=1,2,...$). The circuit is composed of units called multi-qubits gates (MQGs), each of which performs $m$ $C^2$-NOT operations simultaneously on $3m$ qubits. Simultaneous operations eliminate the need to manipulate qubits individually, as required in conventional quantum circuits. The proposed circuit thus represents a more realistic mode of operation for practical computing systems. A nuclear magnetic resonance implementation of the circuit is presented as a demonstration of the feasibility of MQG operations for practical systems.

@misc{citeulike:422895, abstract = {A Toffoli gate ($C^{n}$-NOT gate) is regarded as an important unitary gate in quantum computation, and is simulated by a quantum circuit composed of $C^{2}$-NOT gates. This paper presents a quantum circuit with a new configuration of $C^{2}$-NOT gates simulating a $C^{2m+1}$-NOT operation under the condition $m=2^{n}$ ($n=1,2,...$). The circuit is composed of units called multi-qubits gates (MQGs), each of which performs $m$ $C^{2}$-NOT operations simultaneously on $3m$ qubits. Simultaneous operations eliminate the need to manipulate qubits individually, as required in conventional quantum circuits. The proposed circuit thus represents a more realistic mode of operation for practical computing systems. A nuclear magnetic resonance implementation of the circuit is presented as a demonstration of the feasibility of MQG operations for practical systems.}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Asano, Masanari and Ishii, Chikara}, biburl = {https://www.bibsonomy.org/bibtex/2cc7aaee0d7ca908592fbd146d7bb749d/a_olympia}, citeulike-article-id = {422895}, description = {citeulike}, eprint = {quant-ph/0512016}, interhash = {b2b79a8f25440c27e528281724262bb6}, intrahash = {cc7aaee0d7ca908592fbd146d7bb749d}, keywords = {circuit gate quantum simulating toffoli}, month = Dec, priority = {2}, timestamp = {2007-08-18T13:22:37.000+0200}, title = {New Structural Quantum Circuit Simulating a Toffoli Gate}, url = {http://arxiv.org/abs/quant-ph/0512016}, year = 2005 }